1.

Three bottles of equal capacity containing mixture of milk and water in ratio 2 : 5, 3 : 4 and 4 : 5 respectively. These three bottles are emptied into a large bottle. What will be the ratio of milk and water respectively in the large bottle?1). 73 : 1062). 73 : 1163). 73 : 1134). 73 : 189

Answer»

Let the capacity be Z litres

For bottle 1, 2 : 5 implies that milk is 2a and water is 5a

⇒ 2a + 5a = z

⇒ a = z/7…..(i)

For bottle 2, 3 : 4 implies that milk is 3b and water is 4B

⇒ 3b + 4b = z

⇒ b = z/7…..(ii)

For bottle 1, 4 : 5 implies that milk is 4c and water is 5c

⇒ 4c + 5c = z

⇒ c = z/9…..(III)

Total milk is = 2a + 3b + 4c Using (i), (ii) and (iii)

⇒ milk = 2 × z/7 + 3 × z/7 + 4 × z/9

Total water is 5a + 4b + 5c

⇒ water = 5 × z/7 + 4 × z/7 + 5 × z/9

Ratio of milk and water is GIVEN as

⇒ (2 × z/7 + 3 × z/7 + 4 × z/9) / ( 5 × z/7 + 4 × z/7 + 5 × z/9)

⇒ 73/116

∴ ratio is 73 : 116



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